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3030100200 = 2332523745497
BaseRepresentation
bin1011010010011011…
…1010100011101000
321211011200001001100
42310212322203220
522201201201300
61220401321400
7135042266241
oct26446724350
97734601040
103030100200
11131545a146
12706936260
133939c2cca
1420a5ddcc8
1512b03c700
hexb49ba8e8

3030100200 has 144 divisors (see below), whose sum is σ = 10451345580. Its totient is φ = 786170880.

The previous prime is 3030100187. The next prime is 3030100217. The reversal of 3030100200 is 20010303.

It is a happy number.

3030100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1224020196 + 1806080004 = 34986^2 + 42498^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43852 + ... + 89348.

Almost surely, 23030100200 is an apocalyptic number.

3030100200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225672790).

3030100200 is an abundant number, since it is smaller than the sum of its proper divisors (7421245380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3030100200 is a wasteful number, since it uses less digits than its factorization.

3030100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45556 (or 45544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3030100200 is about 55046.3459277725. The cubic root of 3030100200 is about 1447.0570830250.

Adding to 3030100200 its reverse (20010303), we get a palindrome (3050110503).

The spelling of 3030100200 in words is "three billion, thirty million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 45497 66600 90994 136491 181988 227485 272982 363976 409473 454970 545964 682455 818946 909940 1091928 1137425 1364910 1637892 1683389 1819880 2047365 2274850 2729820 3275784 3366778 3412275 4094730 4549700 5050167 5459640 6733556 6824550 8189460 8416945 9099400 10100334 10236825 13467112 13649100 15150501 16378920 16833890 20200668 20473650 25250835 27298200 30301002 33667780 40401336 40947300 42084725 50501670 60602004 67335560 75752505 81894600 84169450 101003340 121204008 126254175 151505010 168338900 202006680 252508350 303010020 336677800 378762525 505016700 606020040 757525050 1010033400 1515050100 3030100200